Margin of Victory in Tournaments: Structural and Experimental Results

Authors

  • Markus Brill TU Berlin
  • Ulrike Schmidt-Kraepelin TU Berlin
  • Warut Suksompong National University of Singapore

Keywords:

Social Choice / Voting

Abstract

Tournament solutions are standard tools for identifying winners based on pairwise comparisons between competing alternatives. The recently studied notion of margin of victory (MoV) offers a general method for refining the winner set of any given tournament solution, thereby increasing the discriminative power of the solution. In this paper, we reveal a number of structural insights on the MoV by investigating fundamental properties such as monotonicity and consistency with respect to the covering relation. Furthermore, we provide experimental evidence on the extent to which the MoV notion refines winner sets in tournaments generated according to various stochastic models.

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Published

2021-05-18

How to Cite

Brill, M., Schmidt-Kraepelin, U., & Suksompong, W. (2021). Margin of Victory in Tournaments: Structural and Experimental Results. Proceedings of the AAAI Conference on Artificial Intelligence, 35(6), 5228-5235. Retrieved from https://ojs.aaai.org/index.php/AAAI/article/view/16660

Issue

Section

AAAI Technical Track on Game Theory and Economic Paradigms